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Finding the Fourth Proportional to 59,971.62, 82,762.11 and 33,115.82

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Solution

The fourth proportional to 59,971.62, 82,762.11 and 33,115.82 is: 45,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,971.62 : 82,762.11 = 33,115.82 : x
  2. Step 2: Convert to fraction form
    59,971.62/82,762.11 = 33,115.82/x
  3. Step 3: Cross multiply
    59,971.62x = 82,762.11 × 33,115.82
  4. Step 4: Simplify right side
    59,971.62x = 2,740,734,723.77
  5. Step 5: Solve for x
    x = 2,740,734,723.77/59,971.62
  6. Step 6: Final answer
    x = 45,700.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.